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Finding the Third Proportional to 6,846,174 and 9,789,408

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Solution

The third proportional to 6,846,174 and 9,789,408 is: 13,997,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,174 : 9,789,408 = 9,789,408 : x
  2. Step 2: Convert to fraction form
    6,846,174/9,789,408 = 9,789,408/x
  3. Step 3: Cross multiply
    6,846,174x = 9,789,408 × 9,789,408
  4. Step 4: Simplify right side
    6,846,174x = 95,832,508,990,464
  5. Step 5: Solve for x
    x = 95,832,508,990,464/6,846,174
  6. Step 6: Final answer
    x = 13,997,965.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.